Title: Admmissible sets for Erdos sieves
Abstract: When considering a set of pairwise coprime numbers b_1,b_2,... the admissible sets, those which don't contain every congruence class mod b_i for any i, correspond to the closure of the shift {F+n} with n an integer and F those numbers not divisible by any b_i. When considering a generalization for Erdos sieves, this does not hold anymore. In this talk we will discuss how under certain conditions, we can still study the shift of the R-free numbers using the corresponding R-admissible sets.